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Simplifying 4(5x + 3) + 2(2x + -3) = 2x + -82 Reorder the terms: 4(3 + 5x) + 2(2x + -3) = 2x + -82 (3 * 4 + 5x * 4) + 2(2x + -3) = 2x + -82 (12 + 20x) + 2(2x + -3) = 2x + -82 Reorder the terms: 12 + 20x + 2(-3 + 2x) = 2x + -82 12 + 20x + (-3 * 2 + 2x * 2) = 2x + -82 12 + 20x + (-6 + 4x) = 2x + -82 Reorder the terms: 12 + -6 + 20x + 4x = 2x + -82 Combine like terms: 12 + -6 = 6 6 + 20x + 4x = 2x + -82 Combine like terms: 20x + 4x = 24x 6 + 24x = 2x + -82 Reorder the terms: 6 + 24x = -82 + 2x Solving 6 + 24x = -82 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 24x + -2x = -82 + 2x + -2x Combine like terms: 24x + -2x = 22x 6 + 22x = -82 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 22x = -82 + 0 6 + 22x = -82 Add '-6' to each side of the equation. 6 + -6 + 22x = -82 + -6 Combine like terms: 6 + -6 = 0 0 + 22x = -82 + -6 22x = -82 + -6 Combine like terms: -82 + -6 = -88 22x = -88 Divide each side by '22'. x = -4 Simplifying x = -4
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